Hello everyone, I'm kind of new here so wasn't sure where to post a series problem.

How would one go about summing

$\displaystyle \displaystyle \sum_{i=0}^{\infty} \frac{1}{(3i)!}$

I've tried to find similarities between it and the taylor series of hyperbolic cosine, but it isn't really working. I've tried repeated integration to derive a result with the factorial in the denominator but again, I get a non-convergent integral. Any help would be appreciated, thank you.